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Finding the Third Proportional to 12,049.13 and 18,002.81

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Solution

The third proportional to 12,049.13 and 18,002.81 is: 26,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.13 : 18,002.81 = 18,002.81 : x
  2. Step 2: Convert to fraction form
    12,049.13/18,002.81 = 18,002.81/x
  3. Step 3: Cross multiply
    12,049.13x = 18,002.81 × 18,002.81
  4. Step 4: Simplify right side
    12,049.13x = 324,101,257.91
  5. Step 5: Solve for x
    x = 324,101,257.91/12,049.13
  6. Step 6: Final answer
    x = 26,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.